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Write the following expression without negative exponents and without parentheses. (-10 x)^(-1) Answer:

Write the following expression without negative exponents and without parentheses.\newline(−10x)−1 (-10 x)^{-1} \newlineAnswer:

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Full solution

Q. Write the following expression without negative exponents and without parentheses.\newline(−10x)−1 (-10 x)^{-1} \newlineAnswer:
  1. Understand Negative Exponents: Understand the properties of negative exponents. The negative exponent rule states that a−n=1ana^{-n} = \frac{1}{a^n}. This means that we need to take the reciprocal of the base when we have a negative exponent.
  2. Apply Negative Exponent Rule: Apply the negative exponent rule to the given expression.\newlineUsing the rule from Step 11, we can rewrite (−10x)−1(-10 x)^{-1} as 1((−10x)1)\frac{1}{((-10 x)^1)}.
  3. Simplify the Expression: Simplify the expression.\newlineSince raising any non-zero number to the power of 11 gives the number itself, we can simplify 1((−10x)1)\frac{1}{((-10 x)^1)} to 1(−10x)\frac{1}{(-10 x)}.
  4. Check for Further Simplifications: Check for any possible simplifications. There are no further simplifications possible, as the expression is already without negative exponents and without parentheses.

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